High-temperature series expansions (HTS) is a traditional method that can be used to treat any problem in thermodynamic. The previously powerful methods like finite cluster method [1]}, [2]}, [3]}, linked-cluster expansions [4]}, [5]}, finite lattice method [6]}, [7]} and the numerical linked-cluster expansions [8]}, [9]} are based on the Taylor expansion of the partition function around \(\beta (\beta =1/T)\) . However, all these methods have a limited series, and the progress is mainly due to improving the performance of computers.
